半线性微分方程的近似可控性  

Approximate Controllability of Semilinear Differential Equations

作　　者：李建利 陈丽珍[2] LI Jianli;CHEN Lizhen(Department of Applied Mathematics,Taiyuan Institute,Taiyuan 030032,China;Institute of Applied Mathematics,Shanxi University of Finance and Economics,Taiyuan 030006,China)

机构地区：[1]太原学院应用数学系,山西太原030032 [2]山西财经大学应用数学学院,山西太原030006

出　　处：《太原师范学院学报（自然科学版）》2020年第4期1-5,共5页Journal of Taiyuan Normal University:Natural Science Edition

基　　金：山西省自然科学基金(201901D211412)。

摘　　要：使用非紧性测度、半群理论和不动点方法,研究Banach空间中半线性微分方程的近似可控性,得到了半线性微分方程近似可控性的充分条件.To concern with the approximate controllability of semilinear differential equations in Banach spaces by using measure of noncompactness,semigroup theory and fixed point approach,and obtain sufficient conditions for the approximate controllability of the semilinear differen-tial equations.

关 键 词：近似可控性 非紧性测度 半线性微分方程 不动点 

分 类 号：O176.3[理学—数学]